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 If six times the number of permutations of n items taken 3 at a time is equal to seven times the number of permutation of (n-1) items taken 3 at a time, then the value of n will be: 
  • a)
    7
  • b)
    9
  • c)
    13
  • d)
    21​
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
If six times the number of permutations of n items taken 3 at a time i...
Solution:
Let's first understand the concept of permutations. Permutations refer to the arrangement of objects in a specific order. For example, the number of permutations of 3 objects taken at a time is given by nP3 = n(n-1)(n-2).

Given, 6nP3 = 7(n-1)P3
We need to find the value of n.

Simplifying the equation, we get:
6n(n-1)(n-2) = 7(n-1)(n-2)(n-3)
On further simplification, we get:
6n = 7(n-3)
6n = 7n - 21
n = 21

Therefore, the value of n is 21.

Answer: Option D (21)
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If six times the number of permutations of n items taken 3 at a time is equal to seven times the number of permutation of (n-1) items taken 3 at a time, then the value of n will be:a)7b)9c)13d)21Correct answer is option 'D'. Can you explain this answer?
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